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Beliebt Rechnen >

(\partial)/(\partial y)(cos(x^2+y^3))

Lösung

\frac{\partial}{\partial y} (cos (x^{2} + y^{3}))

Lösung

- sin (x^{2} + y^{3}) \cdot 3 y^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (cos (x^{2} + y^{3}))

Behandle

x

als Konstante

Wende die Kettenregel an:

- sin (x^{2} + y^{3}) \frac{\partial}{\partial y} (x^{2} + y^{3})

= - sin (x^{2} + y^{3}) \frac{\partial}{\partial y} (x^{2} + y^{3})

\frac{\partial}{\partial y} (x^{2} + y^{3}) = 3 y^{2}

= - sin (x^{2} + y^{3}) \cdot 3 y^{2}

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l a pl a ce t r an s f or m sin^{2} (7 t)

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\frac{d}{d x} (- \frac{1}{3})

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\int cos^{16} (x) sin (x) d x

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\frac{d}{d x} ((x + 1)^{\frac{2}{3}})

(\partial)/(\partial x)(x^2-x-12y+1)

\frac{\partial}{\partial x} (x^{2} - x - 12 y + 1)